[Forum SIS] Seminario Bocconi- R. Casarin - 7 giugno 2012
Piero Veronese
piero.veronese a unibocconi.it
Ven 1 Giu 2012 12:15:23 CEST
DEC Seminar
Università Bocconi,
Room 3-E4-SR03
Via Rontgen 1 - 3rd floor
Time: 12:30pm
The DEC seminar schedule is available at http://www.unibocconi.eu/statseminar
Thursday, June 7th
Roberto Casarin
(Università Ca' Foscari di Venezia)
"Beta-Product Poisson-Dirichlet Processes"
Abstract
Time series data may exhibit clustering over time and, in a multiple time series context, the clustering behavior may differ across the series. This paper is motivated by the Bayesian non-parametric modeling of the dependence between the clustering structures and the distributions of different time series. We follow a Dirichlet process mixture approach and introduce a new class of multivariate dependent Dirichlet processes (DDP). The proposed DDP are represented in terms of vector of stick-breaking processes with dependent weights. The weights are beta random vectors that determine different and dependent clustering effects along the dimension of the DDP vector. We discuss some theoretical properties and provide an efficient Monte Carlo Markov Chain algorithm for posterior computation. The effectiveness of the method is illustrated with a simulation study and an application to the United States and the European Union industrial production indexes.
Cordiali saluti a tutti
Piero Veronese
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